Hakim al-Umma Mawlana Ashraf Ali Thanawi (Allah have mercy on him) said,
‘Previously it was my habit that where ever I went I visited the scholars and Shuyuk of that locality. This was irrespective of their spiritual demeanor(mashrub) . However, now after experience I do not do this any more. Moreover I advise my friends that doing this is dangerous. In the past people had goodness in their character now they have mischief. Nowadays instead of benefit harm is possible. Those who (continue) do so I find them to be confused most of the time. I receive many letters stating that since I visited so and so the state of my heart’s corruption is this.
A novice (mubtadi) should not meet different Shuyukh because it causes turbulence (in thoughts) and destroys the spiritual serenity (yuksui). Whereas, in this path (sulook) it is essential to maintain spiritual serenity and fortitude (jamiat e qalb). If they are destroyed (by visiting different Shuyukh), then of what benefit is this in the first place?’
Halaat e Muslih al-Ummat ra, volume 2, page 7-8
You mentioned that “You are in no need of visiting the majalis of any other “.
This means the’tarbiyeti majalis, where details of sulook are discussed and elaborated and are specially for that Shaykh’s murideen.
Would it be appropriate to visit mashayikh of other close silsilas, if they are visiting, etc?
It is highly recommend to visit the pious (of all silsila) and request for dua.