Kyle, I also see your post on Gearspace, but I'll post here.
IMO, you should have a scope, but it isn't a substitute for a purpose-built audio test device.
I also hesitate to recommend beginners get a used vintage analog unit. Most are at least 30+ years old and many have a host of problems. I love my 30+ year old Hitachi analog scope, but also have a Siglent SDS814X-HD.
Today, there is no good reason not to get 4 channels and 12 bit digital. The Siglent is quite good. Note that there is a well-known hack to alter the code in the cheapest Siglent SDS800 and change it to the top of the line, 200MHz unit. I decided the procedure was enough of a hassle for me that I decided to just buy the 814 and decide later if I wanted to try the hack, plus I got the 100MHz probes instead of the 70MHz.
With Siglent, to do Bode plots you need to pay extra for a Siglent signal generator that will sync with the scope. Even then, I am not sure if it gives good audio-specific data. There is a reason why there is still a market for audio-specific analyzers.
Audio Precision is, of course, the high end of analyzers. Then probably Dscope or whatever they call it now. In the affordable area, probably Quantasylum. Lower still, with more limitations and dependency on what audio interface you have might be REW (Room EQ Wizard) and others. You need a PC with all these.
FFT is the spectrum analysis in scopes. Not being audio-specific they are more fiddly that audio apps to get familiar looking data, but they are more flexible in the settings.
Siglent 800 remote control is via networked web browser to a computer. A network connection is also needed to set the scope's time clock, as it has no real time clock with battery. No HDMI for an external screen: network to a big screen computer.
I did not like some Rigol aspects or other competitors, so went with Siglent. YMMV!