I think this is a regression related to https://github.com/Automattic/wp-calypso/pull/18916
Found this via a WP.com internal stat drop email alert for "Trampoline" clicks on the "Customize" button after you click "View Site" here. They dropped from 5,000 a day to 100 a day around the same time as the above change.
I expected to view my site with the new theme, as well as the "Trampoline" guide with buttons to Edit or Customize.
Nothing happens when I click "View Site". No JS errors in console.
Tested in Safari and Chrome on macOS.

CC @markryall @fditrapani
Internal Slack ref: p1509557913000052-slack-C02ES4PHV
git bisect suggests that commit https://github.com/Automattic/wp-calypso/commit/4deab69594b0b93e9f2f65c723024f7bd3d3a9de introduced this issue (merged as part of #18557).
The result seems to be that calling path with an absolute url no longer does anything.  In most places, we don't do this (we use <a /> tags with an href instead) but this button uses path.
Are you able to take a look at this @Tug?
We didn't have any e2e test coverage on activating a theme and then viewing the site, so I've written a PR for this that can be merged as soon as this bug is fixed.
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We didn't have any e2e test coverage on activating a theme and then viewing the site, so I've written a PR for this that can be merged as soon as this bug is fixed.
See: https://github.com/Automattic/wp-e2e-tests/pull/769