Does journal access significantly influence choice in which journal to publish in? The University of California has been out of contract with Elsevier this year following disputes on higher costs and reduced rights to a number of journals.

My lab has published numerous papers in various Elsevier journals, many of which are highly considered in their respective fields, but my principal investigator has opted for other journals following the breakdown of the contract. I am a proponent of open-access, but I am wondering whether journal access has influenced your decision to publish in specific journals. I am also interested in the rationales for continuing to publish in closed access journals vs. other journals. 

I could see the number of citations and h-indices being factors that heavily influence the decision.
I've asked many professors why they submit to journal X instead of journal Y. Reasons given include:


Geographic location (e.g. British astronomers are more likely to submit to Monthly Notices of the Royal Astronomical Society simply because that's a British journal)
Impact factor
Scope (certain journals are more theoretical than others, certain topics are just historically published in certain journals, etc)
Habit / familiarity (if I am familiar with a journal's style, publishing there saves time)
Personal knowledge of the editors
Open access (although the professors I spoke to were not concerned about whether their paper would be OA; they were more concerned about publishing in subscription journals, just so they wouldn't have to figure out the open access APC)


Journal access is never cited.

As for why publish open access vs. closed access, see: Why do tenured professors still publish in pay-walled venues?