wix4 does not write enough information for wix3, so wix3 cannot detect wix4 bundle

[svg2003]

We have several app versions, based on wix3 and wix4, and need to maintain both branches.
Having wix3-based version installed, when I start wix4-based installation, it could detect wix3-based previous version (and as result - calling uninstall for it).
But when I have wix4-based version installed, when I start wix3-based installation, it couldn't detect wix4-based previous version, so uninstall is not called and in "Add or remove programs..." I see 2 apps after installation.

We're using 64-bits bootstrapper for wix4, and seems it writes only 64-bits registry keys during the registration.
HKLM\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall{ProductCode}
But wix3 is using 32-bits registry, and cannot detect related bundle.

If I manually copy hive into 32-bits registry ([HKLM\SOFTWARE\WOW6432Node\Microsoft\Windows\CurrentVersion\Uninstall{ProductCode})
wix3 can detect wix4 bundle and call uninstall.

Is there a way for wix4 to write both 32- and 64- bits registry (and remove 32-bits part during the uninstallation as well) ?