The problem is that with France neutral, the Russians know what exactly the British can invest in both the Baltic and Black Sea. In OTL, the RN ships could have carried a french corps onboard. Now at best there can be battalions of marines capturing a fort and blowing it up. Russia doesn't need to invest the OTL 200 battalions for such threat.
Likewise, Hungary is not a threat comparable to the OTL Habsburg Empire. It is newly minted country that can barely keep the Slavs and Romanians from breaking away.
I would argue that in TTL the Ottoman Army has received less material help than in OTL, while its commitments are many many more. The Imperial Government is bound to ask for more loans compared to OTL as: war expenses are much higher, no egyptian tribute, no income from the southern Levant and the profitable routes to the holy cities of the Abrahamic religions, war fought on ottoman soil and not Crimea, less income from the provinces pledged to Greece.
To quote "The Political Economy of Ottoman Public Debt: Insolvency and European Financial Control in the Late Nineteenth Century" , there were 2 major loans:
-1854: £3,000,000 , 7,9% effective interest
- 1855: £5,000,000, 3,9% effective interest
These loans used the egyptian tribute as collateral. They were enough to pretty much destroy ottoman public economics for the rest of the century. To pay back these loans, a series of loans were floated after 1858, almost every single year, until the empire was bankrupt and the OPTA was enforced by the creditors.
en.wikipedia.org
In TTL it is bound to be much worse, as more hard currency is needed and there is less collateral.