Supposedly, probiotics survive best when taken at the start or middle of food containing fat - helps to buffer the stomach acid. When empty, the stomach's acidity is at its highest which provides a protective barrier against microbes.
I must have very low stomach acid. And have only an 8-hour eating window. Sometime eating the wrong time, I vomit. Then I realize, I actually had none. My vomit then tastes as when eaten. No acid at all.
However, usually I don't vomit after eating. Therefore, I assume, there must be much more stomach acid after meals whwn digesting just fine, than a completely empty stomach. And since no acid in my stomach on empty stomach, bacteria survive then the easiest, to reach the intestines. It's not my experience with vomiting, also by taking supplements on empty stomach, that there is any acid when empty.
As after a night-shift. My biome-result showed 0 Bifido or Lacto, though I additional eat curd, kimchi, sauerkraut daily. My ubiome showed the highest diversity, similar to under-gatherer Hadza in Tanzania, and not a western like me. Which despite highest diversity, don't harbor any Bifido or Lacto too.
Have you tried using Bifido-only probiotics as ChatGPT counselled me?
Since those Bacteria since decades don't stick anyway, I never sought out a Bifid only product.