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If you live in a southern climate, it would probably be a good idea. If you live in Vermont or Maine, I would leave as is.
You can remove the butterfly and shaft and weld up the ends, or buy a fuel injected car exhaust spacer that fits in place of the heat riser. Paragon (and others) sell them.
I have done this on many of my cars when living in south Texas and Louisiana. Then used an electric choke (like you) or a manual choke.
If you maintain the heat riser correctly, leaving it in is not a big power loss or engine cooling/fuel issue. Especially in most parts of the country.
You have to have either the heat riser valve or a fuelie spacer in that joint, or the exhaust pipe joint won't seal; the R.H. manifold outlet surface is flat, and the top of the heat riser or spacer is also flat, and uses a gasket with a steel ring to seal. The bottom of the heat riser or spacer is chamfered, to accept the angled sealing surface on the "donut" that seals to the exhaust pipe inlet.
You have to have either the heat riser valve or a fuelie spacer in that joint, or the exhaust pipe joint won't seal; the R.H. manifold outlet surface is flat, and the top of the heat riser or spacer is also flat, and uses a gasket with a steel ring to seal. The bottom of the heat riser or spacer is chamfered, to accept the angled sealing surface on the "donut" that seals to the exhaust pipe inlet.
And even if you did find some way to pull the pipe up and make it seal, it's now too short to the engine and will probably ground out on the frame somewhere and rattle.
This has been an issue before here on this forum, believe it or not!