I have both a Briggs (lawnmower) and a Honda snow blower.
I have pounded the Briggs for 7 years on our large-ish lawn, and have not had a single issue with it. I mow our lawn about every 5-7 days from late April through September or October.
It always starts on the first or second pull. I maintain it reasonably: annual oil change with M1, clean or replace the plug, and place a new filter.
Until last year, I never drained the tank or added any preservative prior to winter storage...and never had a single issue.
I think this is freaking amazing, as I paid about $200 for the mower.
On the other hand, the Honda ran great for the first year (one winter). It had less than 10 hours on it. I maintained it meticulously, following the service instructions to the letter.
Halfway into the second year, it began to run a bit ragged, as if it was having a fuel problem.
There is some occasional popping, and it vibrates much more than before. It still starts easily.
It has the GX160 engine, which is well-regarded.
I checked everything I could think of such as spark and fuel delivery. I tried different fuel, and later, Seafoam. Still runs a bit rough. I hope the carb simply has a piece of junk in it, but is sounds somewhat like a valve issue.
Unfortunately, I will have to take it into the shop.
Being an ex-master mechanic, this annoys me to no end.
The term "finicky" comes to mind. I know the engine is tuned to meet California emission standards, which means it is probably running on the ragged edge of stability in an effort to save a few molecules of CO2.
The Briggs is simply a work horse, and dead-reliable. I don't dislike the Honda, but my experience has left an unfavorable impression.
As a side note, my mom-in-law, grandma and two cousins have mowers with Tecemseh engines.
All of them have had repeated carb varnish issues, requiring disassembly and cleaning. They probably were not maintained as well as recommended, but compared to my Briggs, they are relatively unreliable.
This is just my personal experience...your mileage may vary!