It can go much faster than my run with better luck and some practice. It's also possible without any stigmatas (still using the blue sword).

I will be uploading ALL valkyries on Finality (24200) on this channel:    / @keebsterafterdark6463   Go ahead and subscribe there if you like this type of video, it will come out daily.

00:00 Introduction
00:45 New channel for these videos
01:55 Valkyrie Bladestrike thoughts
03:02 Setting up
04:55 Floor 1 + 2
07:05 Floor 3
09:20 Floor 4 (Failed Attempt)
10:24 Floor 4
12:14 Floor 5
13:15 Floor 6 (Shop)
14:33 Floor 7 (Failed Attempt)
15:00 Floor 7
16:47 Floor 8 (Assaka)
17:58 Floor 9 (Shop)
19:23 Floor 10
20:42 Floor 11
22:38 Floor 12 (Hephaestus)
24:13 Floor 13
25:43 Floor 14 (Shop)
28:11 Floor 15 (Failed Attempts)
29:59 Floor 15
31:28 Floor 16 (Nihilus Husk)
32:44 Floor 17 (Elysia)

BGM:
Plain Asia - Foxtail grass studio
APHO 2 Lobby