According to Rabbi Falk zt"l https://beta.hebrewbooks.org/pdfpager.aspx?req=59630&st=&pgnum=93Rabbi Falk zt"l all Hachono is allowed in Tosefes Shabbos. His reasoning and sources are given at the end of the above linked Sefer https://beta.hebrewbooks.org/pdfpager.aspx?req=59630&st=&pgnum=225&hilite= herehere.