The other thing with inheriting a design is maybe it wasnt finished? Altium is super snazzy and easy to reroute like an afterthought. In Eagle you are wasting your time about "pretty" until you are sure the components are in the most efficient positioning and exact locations, and the thing works.
... and once it works, there is a saying. If it ain't broke...
I appreciate esthetics in the housing and ergos of the device and the proper functioning and responsiveness of firmware. I don't too much care what the pcb looks like under a microscope. The engineer in me might think I could have done it smaller/cheaper or more reliable (on a level more significant than tin whiskers). Never did care too much about pretty, unless the ugliness increases the cost/area. And sometimes there's extra area on a board due to odd shape or housing requirements, anyway, where you could tighten up some things and reduce some area but it wouldn't decrease the cost... so go crazy in there. I don't care. I guess Sometimes I mix 45 degree angles and curves on the same board. I often operate on super fine snap-to just by eye, rather than grid. It's not until the very end I would even care if everything is perfectly evenly spaced or symmetrical... and I get to that point sometimes never, before new board revision requiring major changes.
Acute angle routing traces, on the other hand, are not something I like to see ever. While modern processes have improved to the point where acid traps and tin whiskers are rarely problems now, acute angles are usually just a sign of routing sloppiness and can be trivially fixed. Usually when I find one, I don't worry so much about the angle itself as how much attention the rest of the nearby routing got... and I usually find something else I don't like nearby.
Having etched a lot of my own boards, I have a pretty good idea of where acute angles are problematic. And it's pretty much nil on larger pitch boards 7+ mil. That said, if I see some ugly amateur routing, it might pique my interest. I see the other side of the coin. Examing the board, I might find some unique design decisions and maybe some easily identifiable components rather than inhouse numbers. And seeing how bad something looks and still works you learn more than seeing things made pretty for (possibly) no reason. And you can instantly have some idea of what the trace isn't for. If you find something you don't like, and the board works, anyways, maybe you will learn something.
I do take pride in my work, but for me it comes down to primarily cost and reliability. I don't understand what end user/consumer cares about what the board looks like, and why should you? They care that the thing works. The contractor cares that he makes a profit, which includes ease of assembly, QA/testing, reliability, and cost. The cost to reproduce the board, not just your bill for making it pretty.
I did a collaboration, once, per desire of my contractor. I did the firmware and worked with another hardware designer. Dude was mad skilled in Altium in making pretty traces like lightning. rRight before you eyes, he would paint a picasso of routing. Problem was he didn't bother getting the important bits right. Location of critical things like mounting holes and finger contacts. This company made insanely stupid mistakes, creating new prettier revision 3 times, WITHOUT BEING ASKED, every time making the board look cooler, more complex tab routing for no reason, cool graphic silkscreen, but improving NOTHING. At least once they made the fit to the housing WORSE where a press fit contact was, resulting in 90% fail rate. All the while, they refused to implement some changes I insisted would fix the biggest issues with the PCB; they had more experience and did it their way, which is great but it didn't work. Contractor thankfully didn't quite go bankrupt, and is now using my hardware. It costs less to produce and it brought the rail rate from double digits down to maybe 1%.