Pacing is deliberately not going as fast as you could. On the Unlimited plan it is done for you: requests are spaced, and a newly connected account is ramped up over its first days rather than being handed its full allowance on day one.
What it is not
It is not a guarantee. LinkedIn decides what LinkedIn decides, and nobody who tells you otherwise has read the terms. What pacing does is remove the most obvious reason for the decision to go against you: an account that did nothing for a month and then performed two hundred profile views in four minutes.
The part people skip
Pacing the API does not pace your product. If your tool lets somebody queue a thousand actions on a Monday morning, the queue drains at whatever rate it drains and the account sees the same burst a week later. Spread the work where it is created, not only where it is sent.
Warm-up is the same idea, earlier
A connection that has existed for an hour is not treated like one that has existed for a month, so a new account gets a smaller allowance that grows over its first days. It feels slow, and it is slow on purpose: the first week of an integration is the week an account is most likely to be challenged, and the cheapest way through it is to do less.
On the hosted plan there is no ramp of ours, because the sign-in is a real sign-in rather than a browser extension driving a session. The same logic still applies to what you do afterwards.