First of all, I don't think anyone can say how you as an individual will react. On one hand a month isn't such a long time that would make me think that it's better to do a month long taper, but on the other hand daily dosages in the range of 4-6mg is quite a bit of bupe. So let me put it this way, is there any harm in trying to do a rapid taper? Because I definitely think you can develop a worse addiction/dependency and therefore possibly withdrawal too by dragging out the process at least. Think of it like, someone has been on it for 2-3 years, let's say 2.5 years or 30 months. Even if they do a 3 month taper, it would only be 10% of the time they had been on bupe thus far, which would equal a 3 day taper to your 30 days of use. If you were to do a 2 week taper that would already mean a roughly 50% extension to the duration you are exposed to bupe, which would be over a year or 15 months long taper for the person who was on it for 30 months. Of course this comparison is unfair because 15 months alone is longer by an order of a magnitude when compared to 1.5 months, but perhaps it can provide you with some perspective.
My key take away is, if I were you I would probably be optimistic that one month doesn't necessarily equal too bad withdrawal especially if you don't have a long history with opioids already. Doing a taper that lasts a few days would likely result in easier withdrawal than a taper than lasts for a few weeks. There is no magical duration where you are guaranteed easy or harsh withdrawal, but generally I find that a lot of people have had the experience that when you approach 2 months of bupe it can be a daunting task (even if the second months was mostly tapering down), while withdrawal after 1 month of use can be much more manageable relatively speaking with a rapid taper of few days.
Hopefully this can be of help, just remember that everyone tends to have a unique reaction.