Does journal access significantly influence choice in which journal to publish in?
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?