And what about sitting?

Sit is the third verb in the psalms (skipping לוץ the scornful participle which occurs only twice in the psalter, Psalm 1:1, and Psalm 119:51). Again, this third verb is negatively phrased לֹא יָשָֽׁב and Qal perfect. My query returns 51 of 58 occurrences. I won't bore you with the details but will just fix the rows by hand. I have to add the conjugation column anyway.

The vav-conversive does not apply in my opinion to Psalm 1 but it does in Psalm 23:6. I phoned my Hebrew coach in Ottawa and he checked the Esperanto translation. Psalm 23:6 in Esperanto uses the future. His mother tongue is modern Hebrew but he confirmed this archaic usage of vav to reverse the aspect of a verb, though he indicated the vav should be attached to the verb (as in Psalm 23). But Psalm 29 violates this rule too with a preceding vav yet no reversal of aspect. And Psalm 47 has no preceding vav yet the common translation has its aspect reversed. (Go figure - as I said, do what you want with the aspect / tense of the verbs!)

Psalm	Root	English	Hebrew	Conjugation
Psalm 1:1	ישׁב	has not sat	לֹא יָשָׁב	Qal, perfect
Psalm 2:4	ישׁב	He sits	יוֹשֵׁב	Qal, active participle
Psalm 4:8		make me live	תֹּושִׁיבֵֽנִי	Hiphil, imperfect
Psalm 9:4	ישׁב	remains	יֵשֵׁב	Qal, imperfect
Psalm 9:7		you have remained	יָשַׁבְתָּ	Qal, perfect
Psalm 9:11	ישׁב	dwelling	יֹשֵׁב	Qal, active participle
Psalm 10:8	ישׁב	He sits	יֵשֵׁב	Qal, imperfect
Psalm 17:12	ישׁב	sitting	יֹשֵׁב	Qal, active participle
Psalm 22:3	ישׁב	seated on	יוֹשֵׁב	Qal, active participle
Psalm 23:6	ישׁב	and I will live	וְשַׁבְתִּי	Qal, perfect
Psalm 24:1	ישׁב	and those living in	וְיֹשְׁבֵי	Qal, active participle
Psalm 26:4		have not sat	לֹא־יָשַׁבְתִּי	Qal, perfect
Psalm 26:5		will not sit	אֵשֵֽׁב	Qal, imperfect
Psalm 27:4		to dwell	שִׁבְתִּי	Qal, infinitive
Psalm 29:10	ישׁב	sat	יָשָׁב	Qal, perfect
Psalm 33:8	ישׁב	all those sitting of / i.e. living	כָּל יֹשְׁבֵי	Qal, active participle
Psalm 33:14		where he lives	מְּכֹון־שִׁבְתֹּו	Qal, infinitive
Psalm 33:14	ישׁב	to all those sitting	אֶל כָּל יֹשְׁבֵי	Qal, active participle
Psalm 47:8	ישׁב	sat on a throne of	יָשַׁב עַל כִּסֵּא	Qal, perfect
Psalm 49:1	ישׁב	all you living of	כָּל יֹשְׁבֵי	Qal, active participle
Psalm 50:20		you sit	תֵּשֵׁב	Qal, imperfect
Psalm 55:19		the one sitting	וְיֹשֵׁב	Qal, active participle
Psalm 61:7	ישׁב	he will dwell	יֵשֵׁב	Qal, imperfect
Psalm 65:8	ישׁב	those living of the extremes	יֹשְׁבֵי קְצָו‍ֹת	Qal, active participle
Psalm 68:6		placing	מֹושִׁיב	Hiphil, participle
Psalm 68:10	ישׁב	dwell there	יָשְׁבוּ בָהּ	Qal, perfect
Psalm 68:16		for his dwelling	לְשִׁבְתֹּו	Qal, infinitive
Psalm 69:12	ישׁב	those sitting	יֹשְׁבֵי	Qal, active participle
Psalm 69:25	ישׁב	be living	יֹשֵׁב	Qal, active participle
Psalm 69:35	ישׁב	and they will live there	וְיָשְׁבוּ	Qal, perfect
Psalm 75:3		all her inhabitants	וְכָל־יֹשְׁבֶיהָ	Qal, active participle
Psalm 80:1	ישׁב	you sitting on	יֹשֵׁב	Qal, active participle
Psalm 83:7	ישׁב	and those living in	עִם יֹשְׁבֵי	Qal, active participle
Psalm 84:4	ישׁב	those sitting	יוֹשְׁבֵי	Qal, active participle
Psalm 91:1	ישׁב	One dwelling	יֹשֵׁב	Qal, active participle
Psalm 98:7	ישׁב	and those living	וְיֹשְׁבֵי	Qal, active participle
Psalm 99:1	ישׁב	he sits on	יֹשֵׁב	Qal, active participle
Psalm 101:7	ישׁב	he will not live	לֹא יֵשֵׁב	Qal, infinitive
Psalm 102:12		will remain	תֵּשֵׁב	Qal, imperfect
Psalm 107:10	ישׁב	Sitting in	יֹשְׁבֵי	Qal, active participle
Psalm 107:34	ישׁב	and he will cause to live	וַיּוֹשֶׁב	Qal, active participle
Psalm 107:36	ישׁב	of those dwelling	יוֹשְׁבֵי	Hiphil, imperfect
Psalm 110:1		Sit	שֵׁב	Qal, imperative
Psalm 113:5		dwelling	לָשָֽׁבֶת	Qal, infinitive
Psalm 113:8		dwell	לְהֹושִׁיבִי	Hiphil, infinitive
Psalm 113:9		dwell	מֹֽושִׁיבִי	Hiphil, participle
Psalm 119:23	ישׁב	sat	יָשְׁבוּ	Qal, perfect
Psalm 122:5	ישׁב	they sit	יָשְׁבוּ	Qal, perfect
Psalm 123:1	ישׁב	the one sitting	הַיֹּשְׁבִי	Qal, active participle
Psalm 125:1	ישׁב	it will stay	יֵשֵׁב	Qal, imperfect
Psalm 127:2		sit late	מְאַֽחֲרֵי־שֶׁבֶת	Qal, infinitive
Psalm 132:12	ישׁב	they will sit	יֵשְׁבוּ	Qal, imperfect
Psalm 132:14		here will I stay	פֹּֽה־אֵשֵׁב	Qal, imperfect
Psalm 133:1		live	שֶׁבֶת	Qal, infinitive
Psalm 137:1	ישׁב	we sat	יָשַׁבְנוּ	Qal, perfect
Psalm 139:2		my sitting	שִׁבְתִּי	Qal, infinitive
Psalm 140:13	ישׁב	will dwell	יֵשְׁבוּ	Qal, imperfect
Psalm 143:3		he consigns me	הֹושִׁיבַנִי	Hiphil, perfect