It is believed that Bitcoin will experience a significant increase in it's price during the bull market as a result of investors tending to buy more Bitcoins
Yes, but not only that because the new ATH price of Bitcoin will be achieved through the block halving protocol which fuels the scarcity of BTC in the market and the interest in the market traction that always happens every 4 years with the anticipation of investment which lead to more accumulation and holding.
however after this bullish periods, will the price of Bitcoin continuously swim higher or it would eventually drop down and become bearish for investors to buy the dip and hodl again?
After the halving effect is over, the BTC market will experience some correction, later blood bath, a little pump, and another market correction before it chooses its new bottom price.