No, uniformitarianism does state that what we see now can be extrapolated over periods of time, but that doesn't declare a 'slow, uniform pace' be the only method of change. That is only one tiny fraction of the whole. Some events we see now are rapid as well. The core concept of uniformitarianism is actually related to physical laws. Some people are still hung up on some 18th century sayings from people like Hutton and Playfair. The concept of 'only slow and uniform' goes back to the Persian geologist, Avicenna. However, just as our knowledge of Physics has evolved over time, the uniformity concept has evolved.
The four principles of unformatarianism are:
None of these principles limit changes to 'slow, uniform pace'.
So basically uniformitarianism must comply with only the effects we can observe today. Even though there will not be another global flood nor [most probably] a mini ice age nor what would most likely follow the above - much higher frequencies of all manner of natural disasters.
Keep those goal posts moving as much as you need to keep yourselves comfortably ensconced in your modern day ‘scientific’ theories. Don’t forget to ignore all evidence that is contrary.