As someone who was 16 when BF, like it or not BF was popular , though even at the time, there were critics who gave it negative reviews. You have to look at how it was received in the context of 1995 and not in the context of 2017.
Jim Carrey was hot off of In Living Color, Ace Ventura, The Mask ; You had a film which could appeal more to of a family audience than BR did, BTAS was still on and popular, You had younger actors aside from Jones in the lead roles, It was one of the films that really made Nicole Kidman a big star, it was the first long awaited appearance of Robin since the 60's film, The film had a hit soundtrack with Kiss From Rose being played around the clock, It was the 90s , and it was the era of blockbusters like the Rock, Independence Day, etc. , and Batmania swept the country again in a similar way it did in 1989.
I really don't remember there being calls to do the "miller style" Batman for BF. The "lets get back to the gritty" talk really seemed to pick up steam universally after B&R. There were those who didn't like the camp in Forever even then, but the general audiences at the time seemed to be fine with the tone of the film at that time.
Its not an accident B&R was rushed out only two years later. It was to capitalize on the success of BF. B&R was criticized for being campy but its was mostly bashed for just being awful in general.