I am really a terrible photographer and a weight-weenie as well.
I do have a Fuji X-A5 mirrorless that is pretty decent, and I have an aftermarket belt case that's well padded, has bomb-proof stitching, has exactly the same interior dimensions as the camera, and has a rain bag. It's a little unwieldy, but I'm going to use it on some exploring-type rides-- it takes stunning shots for what it is, but I find the end user interface to be absolutely maddening, and touch-screen to be horribly unergonomic. I'm forever mysteriously winding up in the wrong mode.
I dislike using mobile phone cameras because I just hate smart phones, even though I absolutely have to have one for my business. I won't spend more than $200 on one, usually more like $150, and I keep them at least three years, often four or five. On phones that cheap-- and actually, any phone with a screen protector-- touch screen is not very reliable for photography, I've seen my buddy with a high-end iPhone stabbing his finger at the button just like I do on with my 2018 Galaxy J3 junker whatever. (Which, by the way, has been incredibly reliable, has outstanding call quality and reception, despite being Samsung's rock-bottom product.)
But trying to manage a touch scereen while shooting wildlife is maddening-- and, unlike either good phone cameras or my crappy little point-and-shoots, when the results are bad on the J3, they're not fun-bad, they're just ugly and unusable.
I'm going to work on my skills with the X-A5, but for most rides, I prefer point-and-shoots. I have five different aftermarket holsters in various sizes, and I can't even tell I'm wearing a camera on my hip. Zippers not velcro, but all are a fast, one-handed draw. My bike is underpowered, it cost me $250 to get my bike down to 46 pounds from 49, I don't want to add even 100 grams if I don't need it. I ride stupid light-- 10-ounce water bottle, Allen wrench kit, tire sealant/inflater, mobile phone, non-sunglasses for after dark, tiny (but powerful) front headlight and rear light, emergency dose of medication, microfiber sweatshirt in under-saddle bag.
I love old point-and-shoots-- my Canon S90 is just so much fun, but I recently decided it was too big and heavy for e-biking and went back to my tiny Sony DSC-W800... which, I think, has got to be one of the worst digital cameras ever made.
I'm highly amused by the results when I tweak the image with shareware to try to pull out any detail. (I'm always riding at twilight, so it's low light + small sensor, a really bad combination.) Hey, I grew up in the '70s, I like psychedelic art... but honestly, even as someone who loves bad photography, I think I'm losing my patience with the W800.
Just yesterday, I actually ordered a new/old stock PowerShot Elph 100 HS for $60.
I hope it's a real stinker-- terrible in all the right ways. I'll find out in a week or so.