According to sedeprivationism, does a material pope have temporal authority?

[Geremia]

According to sedeprivationism, does a material pope have temporal authority?

[Bonaventure]

No because he is not a material pope. He possesses an election but the heresies etc hinder him from being a pontiff.

This is a very good explanation.

https://youtu.be/cQaHJz8nZyQ?si=8nOLhIcCea4ltoDl

[Santantonio]

According to sedeprivationism, does a material pope have temporal authority?

Yes, but only in an apparent manner...

The material pope has MATERIAL temporal authority, which doesn't make it legitimate, however... 

[Geremia]

The material pope has MATERIAL temporal authority, which doesn't make it legitimate, however... 

John of St. Thomas (CURSUS THEOLOGICUS In Summa Thelologicam D. Thomas, Tomus VII, IN SECUNDAM SECUNDÆ DIVI THOMÆ, Quæstio I, DE FIDE, DE AUCTORITATE SUMMI PONTIFICIS, Parisiis Ludovixus Vivês, Editor, 1886, p. 207, sq.) seems to think a heretical pope can exercise (albeit illegitimately/tyrannically) temporal power:

[The Church] may defend itself, not by deposing him [a heretical pope], but by repelling him with force if he proceeds with violence or tyrannically, if, for example, he wished to do something against justice by the force of arms, one could repulse him with arms ; and similarly, if he were to establish something against good morals he is not to be obeyed, because an unjust law does not oblige.

[Michael Wilson]

The discussion of the heretical Pope by Canonist and Theologians all concern a Pope that would fall into heresy as a "private individual", not as acting in his official capacity as Pope.
It is possible that for the good of the Church a false Pope would be supplied with jurisdiction for the acts that are necessary for the continuation of the Church, such as the appointment of bishops to residential sees, and Cardinals.
Billuart affirmed this.