For me saving and investing is the same, investing is like saving for your future and it goes along with an interest, while saving is for your future but may not bear an interest or profit. But I recommend both for those who doesn't have either of the two.
I agree with you , saving and investing is just one thing and also have one goal. That is for you to earn. But if you are saving your bitcoins today for the coming halving then it is also an investment.
Saving for me is different because by saving your money will not earn interest and investing their is a risk that your money will be gone if your investment will not be successful and on the other hand you will gain profit if you succeed. Now the best investment is to buy BTC while the price is not that high.