I totally understand that, since if an enemy gets feed, especially one that is difficult to stop and a late game monster like current tanky yi, shivana, xin, fizz, diana, draven, etc. You will have a very difficult time to win the game.
I hope you take the next part as positive critique tho:
The vast majority of bronze players lack game knowledge. Such as: power spikes, trading, which fights they can win and which they can't, when to play aggro and when not to.
Personally I would stomp in bronze. I got a smurf on euw (not my main account that is also in euw). And I played Jungle Nida in high silver elo. Jungle being my worst role and Nida being one of the champions I'm bad with due to high mechanics needed. And I stomped games when I had just 1 winning lane.
Going close to equal or slightly ahead is fine, if the difference between your skills and your opponent is similar. But for example, if you want to get out of bronze, and want to do that quick, you must be better than your enemy entirely (either in lane, or team fights, and so on).
Now, if you really want to improve. There's a series of "teachings" on youtube called league craft. A diamond player (I don't know from what server) tried to scientifically explain most mechanics that are present in league of legends. Also explaining most (if not all roles).
Most of us at gold+ do those unconsciously, however, its a byproduct of the game knowledge we acquired from playing the game. In these videos you can gain that game knowledge just by listening and trying to understand.
Most of it is regarding to season 3 or 4 however. But why its good?
Because the same mechanics of "trading", "roaming", "how to play adc properly", "how to play mid properly" and so on have stayed the same as the game progressed though seasons.
Yes, champions will be most likely different. Items will be most likely different. But the basis for it stayed the same.
Another thing you can learn are power spikes. Basically, knowing when your champion just became a lot stronger. Personally I didn't knew about this until late season 5. When I learned about this from LCS games listening to casters. Usually they make a lot of puns and so on, but sometimes they give up very valuable informations.
Using that as a basis together with my own experiences, I was able to "understand" what other champions need to reach their power spike.
As examples from LCS I've listened to were stuff like: Corki gets a power spike with Trinity Force. Caitlyn has a weak mid game due the fact that she needs 3+ items to power spike, her power relies on her long range for damage output in team fights, however for that she needs multiple items (IE, Static Shiv, Blood Thirster, this is just an example, not necessarily the 3 items you need since I don't remember exactly).
Recent examples: Kog power spikes at 2 items, rageblade and runnans. Older Kog was power spiking at lv 11 with trinity and lv2 ult.
As such I came up with things on my own like: Diana power spikes with 2 and 3 items the hardest. Akali power spikes at lv6. Tank Akali power spikes at 2 and 3 items. Tank Akali vs AD top lanes power spikes at half an item. Malzahar power spikes at 3 items (roa, rylays, lyandry).
Sadly, I can't tell you exactly what to watch in order to learn power spikes. However, they are important as they are telling you when you can win fights over your enemy.
This includes stuff like rageblade junglers. For example. Since at just 2 items (rageblade and devourer) even if devourer is completed, a lot of champions can burst them down and kill them.
Tho, I highly recommend league craft 101 for general league language. If you can understand at least the concept of trading, you should easily get to silver (I got from silver 1 to gold 3 when I learned trading, but I did it on my own without any help, just a guide that told me "Fiora's combo is Q aa Q aa E aa" and that was the revelation for me... old Fiora btw).