Is or was Putin hiding in a bunker?

There were rumors that due to the Covid pandemic, Putin was hiding in a bunker (his press secretary denied it). Here’s just one of many quotes

There were rumors that due to the Covid pandemic, Putin was hiding in a bunker (his press secretary denied it). Here’s just one of many quotes (sorry if my translation is bad).

Right now, somewhere in a bunker near Moscow, sits V.V.Putin, who proclaimed himself tsar of Russia, looks at the tails of these columns [of Khabarovsk protesters], hiding beyond the horizon, and is very upset.

(Прямо сейчас, где-то в подмосковном бункере сидит В.В.Путин, провозгласивший себя царем России, смотрит на хвосты этих колонн, скрывающиеся за горизонтом, и очень расстраивается.)

(from here)

Is it true?