The H1C appears to need an external wastegate which isn't shown yet right?
The smaller H27C appears also to be split pulse driven front 3 to rear of turbo and rear 3 to front of turbo. It appears to have an integral wastegate judging from the exducer port shape.
Presumably you plan to route all the H27Cs exhaust (either via its wastegate or turbine) directly into the H1Cs turbine (how? not shown yet I presume) behind the shutoff valve controlling flow into the H1C.
Sounds like a plan to me

Out of interest, have you just done the front 3 ex ports to rear of turbos and vica versa for the rear 3 to simplify the fabrication?
Would the H27C spool up faster if it were allowed to vent straight into the exhaust via a butterfly valve that would close as the H1Cs opened? Of course the downside is the larger turbo is not kept spinning constantly. Worth a thought but I suspect your idea is the best one.
A very lightly sprung flap valve (held closed by H27C boost + spring) in the air side to prevent boost from the small turbo escaping out the large turbo would automatically flow air from the H1C when it gets spooled up without any need for complicated actuators.
jk