Yes, Dick or Jason dressing as Batman when they need to fill in for him when he's gone or injured but what about covering for Bruce Wayne at important events. Tim has it down at over at Wayne Enterprises and Damian can mimick Bruce's voice convincingly enough to fool anybody on the phone. But for actual visualisations of Bruce at events like galas and charity events and speech giving, Jason and Dick can pass as long as they stick to a script and both of them have certain events they cover. Dick covers most things during the day, speeches, opening hospitals and doing interviews armed a comm with Duke in his ear supplying him the lines. As for Jason, Jason covers the playboy Bruce Wayne. He hits up the clubs, splashes the cash, drinks, dances and lives it up.
And they do a great job but Steph, being in charge of the schedules that time, somehow gets the events mixed up and Jason gets sent to open a children's hospital and Dick has to go party at the Iceberg Lounge and they just say nothing about it because they want to try their hand at one upping the other. Jason delivers a moving speech while Duke is panicking in his ear, completely off script and it's from the heart and he plays with the kids, talks to the parents and he's so comfortable with all of this, that deep down he's considering asking Bruce whether he can head the charity full time. Meanwhile, Dick is on the Iceberg Lounge, throwing it back, dancing on the counter, doing shots, doing karaoke, doing an impromptu strip tease and he's having so much fun because Dick never gets to cut loose like this. Cass is watching from the rafters, just nodding because fuck it, Dick needed this.
Bruce is never to find out about what happens on on their Bruce Wayne days/nights and as their father he doesn't want to know but Bruce does glean bits and pieces, his speech at the children's hospital was so moving and what he did for that little kid who wanted to meet Wonder Woman? And how he busted it down in that nightclub singing "Toxic"? Bruce has never been a prouder father of his two eldest sons.