Would more men be open to going to therapy if they had resources tailored specifically for them, and if the office had Emotional Support Animals for appointment use?
This is purely anecdotal of course, but most of my (male) friends and family members who resist going to therapy aren't really turned off because of access to a specific service tailored for them or not; they're "turned off" from it largely because of the social perception of men going to therapy in general.
What I mean to say is, no, I don't think we need more therapy "tailored" towards men, all (decent) therapists already specifically try to bend their particular therapy-ing style to match their client, regardless of gender. We need to change the perception of what it means to get therapy (at least in my opinion).