For Pete's sake no, just no.
I've seen gobblers together all this year and every other since I started turkey hunting back in the early 90's. You see it from the first of the season until the end, some birds especially two year olds hang together all year. Some are loaners.
Sure there are birds which are subordinate that are not allowed to have hens and will gather with other gobblers. Some of those will gobble and still come to hen calls, other have beaten into submission and will essentially ignore you. That all depends on how many super dominant birds live where you hunt. A really nasty dominant bird will keep everyone acting weird.
This morning I watched as a buddy hammered a 3 year old bird that came in with two other longbeards and some jakes. There were hens nearby, but they wanted to find me first and found his #5's before that.
Every year this comes up, and there's this panic that it's over. Every year I drive to S. GA to hunt around May 15th and find birds gobbling, strutting, and with hens. Every year while fishing I hear birds gobbling until mid June at a minimum around here. In other words, it's a long way from done, and this year especially as late as they got started