You wouldn't hear that through a shower. On the way out you'd have grabbed a towel and possibly your pile of clothing, or at least the top part.

However, the cops not showing up until they were long gone is what happened to me. I caught the bastards, chased them, got a description of the car and tag, and where they were headed.

You'd think that have done it, but no.

told them probably heading down main road in front of my house to Mexico. Cops came by two hours later. Truck recovered in the Rio Grande river two months later by border patrol.

They're too focused on drug busts.

The shower would be making too much noise.

To hear that through the shower would mean the burglars are extremely loud, which would alert the entire neighborhood.

I can hear a knock on my front door from inside my shower. I even hear knocks on my neighbor's doors from inside it (although I live in an apartment, so that may not apply to her case of course). Plus she may not have a vent fan running, or the bathroom may be close to the door (I once lived in a place where the bathroom was -literally- beside the entryway door. Like...one and a half feet in was the bathroom door).

I can't say either way, but I can't dismiss it outright.

...especially, if I have not closed the bathroom door. I think it is entirely within the realm of possibility.

Will add to op

suburban neighborhood. If it's a bedroom community, there are probably no neighbors in surrounding houses.
People breaking down a door would be shaking the house, but who'd be around to hear it?

To quote Sherlock Holmes,

"Good heavens!" I cried. "Who would associate crime with these dear old homesteads?"
"They always fill me with a certain horror. It is my belief, Watson, founded upon my experience, that the lowest and vilest alleys in London do not present a more dreadful record of sin than does the smiling and beautiful countryside."
"You horrify me!"
"But the reason is very obvious. The pressure of public opinion can do in the town what the law cannot accomplish. There is no lane so vile that the scream of a tortured child, or the thud of a drunkard's blow, does not beget sympathy and indignation among the neighbours, and then the whole machinery of justice is ever so close that a word of complaint can set it going, and there is but a step between the crime and the dock. But look at these lonely houses, each in its own fields, filled for the most part with poor ignorant folk who know little of the law. Think of the deeds of hellish cruelty, the hidden wickedness which may go on, year in, year out, in such places, and none the wiser."