Depends upon the recurring contribution, if the recurring contribution has a single line item for membership type than its not needed if not then yes its needed so that the line items for subsequent payment are added correctly.
How I did for Paypal Standard is
Updated the subscription amount at Paypal.
Using sql queries
2.1 Update the total_amount in contribution recur table
For Single Line item:
1. Find for the template contribution:
SELECT id FROM civicrm_contribution
WHERE contribution_recur_id = 123
AND is_template = 1
ORDER BY id DESC
2. If found update the total_amount field for the contribution and line item line total
UPDATE civicrm_contribution
SET total_amount = 100
WHERE id = 122;
UPDATE civicrm_line_item
SET line_total = 100
WHERE contribution_id = 122;
3. Incase there isn't the template contribution create one using the last contribution for recurring contribution and also line item.
SELECT id FROM civicrm_contribution
WHERE contribution_recur_id = 123
ORDER BY id DESC;
For Multiple Line item:
1. Find for the template contribution:
SELECT id FROM civicrm_contribution
WHERE contribution_recur_id = 123
AND is_template = 1
ORDER BY id DESC
2. If found update the total_amount field for the contribution and line item line total
UPDATE civicrm_contribution
SET total_amount = 120
WHERE id = 122;
UPDATE civicrm_line_item
SET line_total = 100
WHERE contribution_id = 122 AND membership_type_id = 2;
3. Incase there isn't the template contribution create one using the last contribution for recurring contribution and also line item.
SELECT id FROM civicrm_contribution
WHERE contribution_recur_id = 123
ORDER BY id DESC;
HTH
Pradeep