That will work also as the inline but is 7 times the cost of a gates one, with the one in your photo you have to cut the hose, with the gates it is inserted into the original hose,
I have fitted loads of inline gates stats and not had one report of a failed one yet over the last 10 years, both to FL1 and to the Rover 75.
Smear washing up liquid or rubber grease into the hose and a little on the dome of the stat, this will help it insert easier, once you have removed the top hose.
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Use a piece of alloy tube which i had made for the job, you can use the white washing machine out let pipe, about 4" long.
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push it in until the copper end is either level or about 10ml below the end of the hose.
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On the Rover 75 it can be inserted further, here are both side by side, note i have added the plastic clip to the FL1 hose to shows how it would look once the hose was fitted back, as you have to cut through the original stainless steel band, this was a manual FL1
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Top hose is the Rover 75 one.
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Make sure you also check the header tank for crazing and cracks, fit a new one if in doubt, to be honest i would fit a new one anyways if its not be changed since the car was new.
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The original stat fails as in it opens to early and stops the engine getting up to temperature, of cause if the original is leaking or the water pump as failed then you would have to change the original stat, but the inline stat is the ay to go, which ever one you use metal insert as in your photo or the one i have showed.
This metal one shown in on a Rover 75.
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An Auto FL1 would be different to fit Nodge can say more about that.