Disadvantages of hyperparameter tuning on a random sample of dataset
One of the good practices is to create a split in the dataset for each tuning/ training step of your pipeline. Since you have large datasets, you should have enough data to split the original dataset into multiple subsets and still have a relevant number of rows for each step. As such, as an example, you can divide your dataset in 60% training, 20% hyperparameter tuning and 20% for the test.

It is important to avoid optimizing the hyperparameters with the same data you train on because this can lead to overfitting both tuning steps of your model to the same source of data.

Also, be careful on how you sample the original datasource. When dealing with highly skewed categorical features, random sampling can lead to categories in the test set which are not observed during training, which can cause some models to break. Also, numerical features should have a similar distribution between the training and the test set.