The phrase "that will otherwise" is correct and usable in written English.
You can use it when you want to make a contrast between two options. For example, "If you don't take the bus, you will need to find another mode of transportation that will otherwise take you to the same place."
There is also pressing need for shared effort on the great dangers and grievances that will otherwise pull us apart.
More importantly, it would also ease the embarrassing confusion over eligibility that will otherwise continue to bring the game into disrepute.
To crush this threat, we need a program of tightly focused foreign aid to address the economic, political and social conditions that will otherwise continue breeding new terrorists.
Ferguson may include Ronaldo in tonight's friendly at Stoke, a match that will otherwise be notable for the debut of Kleberson, whose £5.9m transfer was concluded yesterday.
Delivering a full reversal of Tory cuts to in-work support that will otherwise see 2.5 million low-paid workers lose more than £2,000 a year.
That would reduce America's need to borrow from abroad, and so mitigate the fall in the dollar and rise in bond yields that will otherwise be demanded by investors.
That somewhere down the line there will be a new threat, a new need, that will cause otherwise sensible people to forget or ignore the dangers of allowing a security apparat to swing out of control.
First, the particles are effective carriers of chemical compounds, many of which are semi-volatile organic substances that will not otherwise gain access to the deeper regions of the lung.
The I.R.S. Oversight Board, a panel of business experts Congress created to monitor the agency, wants an increase of more than double that amount, warning that enforcement will otherwise continue to dwindle to the detriment of honest taxpayers.
Garnishes are all optional, though herbs add a dimension that will be lacking otherwise.
Don't listen to anyone that will tell you otherwise, they're wrong.
