Uh yea... No. The arbitrary $400 ceiling is just laughable.

I have no problem with the Tascam DP3 but the Zoom R8 gives you a choice of 44.1/48 and 16/24 for the same price—can also be used as a 44.1/48/96 24 recording interface (not that I would).
Zoom R8 Recorder/Interface/Sampler

Those microphone recommendations are whack. The mic pres are just wrong for dynamic microphones rated at 150Ω output impedance. Plenty of mics are far superior for not much more money. The AKG D5 C @ $109 is my favorite dynamic under $700 for just plug in without an additional preamp and has a 600Ω output that is far better matched to either the TASCAM or Zoom.
AKG D5 C

Although I'm not a fan of cheap, Chinese condensers when starting out, many are. These are as good as any, I suppose.
MXL microphones



BIAB 2023 Audiophile, 24/60 Core M2 Mac Studio Ultra/8TB/192GB Sonoma, M1 MBAir, 2012 MBP
Digital Performer 11, LogicPro
Finale27.4, Dorico5, Encore5, SmartScorePro64, Notion6, Overture5