I think Arsenal wouldn't be a perfect place for Rodrigo because Arsenal already has good wingers, and if they sign another winger the it would be hard for them to used Rodrigo in X11 sheet.
I must disagree with you on this point... Martinelli has been quite ineffective on the LW for the past two seasons, while Trossard has been injury-prone and can't really play a lot of minutes... It's worth noting that Arsenal signed Madueke as a backup for Saka, but the fact that he already has a lot of minutes on the LW clearly shows Arsenal needs someone like Rodrygo
[the main issue is, I don't think Arsenal can afford to sign someone with that kind of price tag (at this stage of the transfer window)].