It's fair enough if Peter Alliss isn't your cup of tea, but it is possible for "equal access and equal rights" to occasionally disadvantage all parties, as in this case.
As for golf having huge problems, the sport is awash with cash, it is truly global, the standard is incredibly high and this...
The way I read the OP Alliss is actually speaking on behalf of women who have been priced out of golf because of a hike in the lady membership fees.
And I don't know about homophobia but I've heard Peter Alliss commentating for many years on Tiger Woods, Vijay Singh, YE Yang, Lee Trevino...