You don't get to have intense friendships with men one on one
See, I think this is nonsense. I can and do. I would say that, if anything, it has benefited my marriage. Having friendships that nurture you lets you bring a lot to your main relationship, and means you avoid being emotionally entirely dependent on your spouse.
Are you for real ? Emotional affairs can be the pre-cursor to it getting physical. You talk much more to your EA partner. Possibly trust them more. You have time for each other.
Because there's no.....daily round, school run, food preparation, t.v., hobby, in-laws, housework etc etc etc on and on and on.
Perhaps we are talking at cross-purposes. I am happily married to someone lovely, and have never had an emotional affair, or an affair. However, many of the behaviours I regularly engage in with a couple of close male friends going out for dinner, going away for the weekend, confiding in one another are regularly seen on Mn as things which should be 'reserved' for a spouse or partner. I don't agree. Just as I haven't forsaken my female friends for my marriage, I haven't forsaken my male ones. I have never slept with them. I have never nearly slept with them. They are also married. I know their wives. They are also dealing with the daily grind of the school run and putting the bins out. No one is sneaking around or getting some kind of illicit buzz from contact.
The OP's situation is not mine. I don't think it's an intense platonic friendship because it sounds secretive, and she is clearly confused by it.