Eh. I really don’t care if they have him using his lightsaber as much as he wants whenever he wants. First of all, that is part of the character, and what audiences expect.
There’s really nothing in ANH to suggest that he has generally refrained from using his lightsaber in the past, or that he has much concern about using it on Tatooine. Remembering that the community appear to consider him a “crazy old wizard”, there’s nothing in the film indicate that that wasn’t part of his “craziness” - occasionally being seen swinging around a weapon that, to the others in the community, probably didn’t even belong to him. Furthermore, if he was so concerned with keeping his use of the lightsaber on the down-low, then he probably would not have whipped it out in the middle of a public bar, when they were being actively pursued by the imperials and even had a run-in with stormtroopers just outside the bar a few moments before – he could’ve defused the situation with Dr. Evazan and Ponda Baba just as easily - and less conspicuously -with a surreptitious push or squeeze from the Force to disarm them – or even a mind trick as in the bar in AOTC.
M