Can a heavy tonearm be agile ?

Recently, there has been a trend to suggest that heavier tonearms are "better". The likes of Fidelity Research/Ikeda are highly appreciated in this regard. I can understand that these heavier tonearms may sound more stable and grounded and may even track better but are they agile enough ? I have heard some of the lighter tonearms like the 47 Labs RS-A1, Naim Aro, Rega RB1000 and recently the Basis Vector 4, they all have one thing in common, music sounds very agile through these arms. The sense of speed, timing and flow stands out on these tonearms, there is a bounciness in the music which feels more groovy and upbeat. Is it a trade off that we have to accept between heavier and lighter tonearms or are there heavy tonearms which can also be upbeat and agile ?

Before someone points out, I know TTs also affect the agility of the sound, but keeping the TT constant, in my experience tonearms also have a huge impact on speed and timing of sound.