shoebox

Too true. It won't.
For my US friends, here's what your greatest (gay)  poet  had to say, possibly recalling the boy he met in New Orleans....  
"How sweet the silent backward tracings!
The wanderings as in dreams- the meditation of old times renewed...." 
Walt Whitman

And if you want more luxurious, the new Dusit Thani will be opening soon!

I am assuming you mean the bars and massage places on the Silom Surawong area, and not the massage parlours further out, e.g. in Saphan Khwai or Onnut.
If I were in your shoes, I would definitely move to a hotel in the same area, for one big reason: it's so much easier to pop back to the hotel room to wash up or pick up more cash before hitting another place, whereas depending on taxis or rides will put you at the mercy of Bangkok's notorious traffic. Even if you learn to use the light rail system, this system stops slightly before midnight. 
This map shows several hotels in the area : https://shamelessmacktwo.travel.blog/2023/12/07/map-of-silom-surawong-area-december-2023/

I always stayed at the quarter and I never felt it was far from all the action...not even a 10 mins walk to soi 4😅
It's very close to the action but far enough that you get some peace and quiet 

My experience last month 
I stayed in the Tarnatawan 
Not knowing the "action " had moved from across the street I had use a motorbike taxi to that gay street 
Pain in the ass ..but...it depends on what your plans are 
If I'm going to hit that gay street every night I want to be close to the action not relying on Grab 🛵 I want to be able to walk back to the hotel
Next time I will stay closer ,but that's my personal experience yours maybe different 

use macaroni's enlightened advice and move  closer to the action. Tons of hotels in the area suiting all budgets and with short walk to sinful sois and no problem with visitors.
My favorite are Le Siam on Convent (across the Silom from soi 4 ), Baan Silom in soi 3 , across the Silom from soi 6 and Raya , across the Suriwong from Moonlight bar .
For more upscale experience you have Crown Plaza, Le Meridien, Pullman G and Amara. For budget options there's Wall Street Inn , Pula Silom  and Nantra Silom. For new and modern Icon Stylus across from Patpong and Quarter Silom  by Tawan (now The One ) bar but this is option only if you like postcard size rooms , twice overpriced IMNSHO.