True, but it sounds like you’re just shifting computation from training to inference. And I’m not sure that’s a very good trade off to make, you’re likely to predict on much more data than you trained on (e.g. ranking models at google, fb, etc)
Furthermore, number of parameters do not (necessarily) grow with the size of the training data, can be reused if you get more data, can be quantized/pruned/etc. There's not really an easy way to do these things with SVMs as far as I understand.